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Finding the Fourth Proportional to 109.06, 150.49 and 59.94

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Solution

The fourth proportional to 109.06, 150.49 and 59.94 is: 82.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.06 : 150.49 = 59.94 : x
  2. Step 2: Convert to fraction form
    109.06/150.49 = 59.94/x
  3. Step 3: Cross multiply
    109.06x = 150.49 × 59.94
  4. Step 4: Simplify right side
    109.06x = 9,019.32
  5. Step 5: Solve for x
    x = 9,019.32/109.06
  6. Step 6: Final answer
    x = 82.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.